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Finding the Fourth Proportional to 175,203.40, 262,805.10 and 101,475.40

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Solution

The fourth proportional to 175,203.40, 262,805.10 and 101,475.40 is: 152,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,203.40 : 262,805.10 = 101,475.40 : x
  2. Step 2: Convert to fraction form
    175,203.40/262,805.10 = 101,475.40/x
  3. Step 3: Cross multiply
    175,203.40x = 262,805.10 × 101,475.40
  4. Step 4: Simplify right side
    175,203.40x = 26,668,252,644.54
  5. Step 5: Solve for x
    x = 26,668,252,644.54/175,203.40
  6. Step 6: Final answer
    x = 152,213.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.